Ehler, M;
Graef, M;
Kiraly, FJ;
(2015)
Phase retrieval using random cubatures and fusion frames of positive semidefinite matrices.
Waves, Wavelets and Fractals
, 1
(1)
pp. 32-50.
10.1515/wwfaa-2015-0005.
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Abstract
As a generalization of the standard phase retrieval problem,we seek to reconstruct symmetric rank- 1 matrices from inner products with subclasses of positive semidefinite matrices. For such subclasses, we introduce random cubatures for spaces of multivariate polynomials based on moment conditions. The inner products with samples from sufficiently strong random cubatures allow the reconstruction of symmetric rank- 1 matrices with a decent probability by solving the feasibility problem of a semidefinite program.
| Type: | Article |
|---|---|
| Title: | Phase retrieval using random cubatures and fusion frames of positive semidefinite matrices |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1515/wwfaa-2015-0005 |
| Publisher version: | https://doi.org/10.1515/wwfaa-2015-0005 |
| Language: | English |
| Additional information: | © 2015 Martin Ehler et al.. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0) |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/1517419 |
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